The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1 21  1  1  1  0  1  1  1 24  1  1  1  0  1  1  1 21  1  1  1  9  1  1  1 12  1  1  1 12  1  1  1  1  1  6  1  1  1  1  1  0  9  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 24 15  9 21  1
 0  1  7 26 21  4 20  1 24 23  1 19  0 20 16  1 21  4 26  1 24 19 23  1 21 16 20  1  4  0 26  1 12 16 11  1  9 13  8  1  9 13  8  1  6 12 10  5 24  1 24 16  7 20 11  1  1  6 19  1  7 19 10 23 14 15  0  9  9 12  3 12  6 18 11  2 26  5  1  1  1  1  0
 0  0  9  0 18 18  9  0  0  0  9 18 18  9  9  9 18  9  9  0  0 18  0  9  9  0 18 18  0  9 18 18  9  0 18 18  0 18  0  9  0 18  0  9  0 18 18  0 18  9 18  9  0 18  9 18  0  9  9  0 18  9  0  9 18  9  9 18 18  0  0  0 18  9  0  0  9 18  0 18  9 18  0
 0  0  0  9  0 18 18  9  9 18  9  9 18  0  9 18  9 18  9 18 18  0  0  0  9 18  9  0  0 18  0 18  0  9 18  9  9  0  0  9 18  9 18  0  0 18 18  9  0 18  9 18  0  0  9 18  9 18  9 18  9  0  9 18  9  9  0  0  9 18  9  0 18  9 18  0  0 18  0  0  0  9  0

generates a code of length 83 over Z27 who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+120x^160+438x^161+934x^162+552x^163+804x^164+770x^165+354x^166+162x^167+446x^168+402x^169+426x^170+602x^171+186x^172+276x^173+74x^174+6x^175+2x^177+2x^189+2x^192+2x^195

The gray image is a code over GF(3) with n=747, k=8 and d=480.
This code was found by Heurico 1.16 in 0.386 seconds.